name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
IsOfFinOrder.val_unit
Mathlib.GroupTheory.OrderOfElement
[ "Monoid", "Units.val", "IsOfFinOrder.unit", "Eq.refl", "Eq", "IsOfFinOrder" ]
true
UInt16.toUSize_sub
Init.Data.UInt.Lemmas
[ "congrArg", "HSub.hSub", "USize.toUInt16", "instModUSize", "USize.toUInt16_sub", "instHMod", "UInt16.toUSize", "HMod.hMod", "UInt16", "instHSub", "_private.Init.Data.UInt.Lemmas.0.UInt16.toUSize_sub._simp_1_1", "congr", "True", "eq_self", "of_eq_true", "instSubUSize", "instSubUInt16"...
true
Lean.Parser.Term.doSeqBracketed
Lean.Parser.Do
[ "Lean.Parser.Term.doSeqItem", "Lean.Parser.Parser", "HAndThen.hAndThen", "Lean.Parser.leadingNode", "instHAndThenOfAndThen", "instOfNatNat", "Lean.Parser.symbol", "Lean.Parser.withAntiquot", "Bool.true", "Unit", "Nat", "Lean.Parser.ppLine", "Lean.Parser.withCache", "Lean.Parser.many1", "...
true
MeasureTheory.StronglyAdapted.measurable_upcrossingsBefore
Mathlib.Probability.Martingale.Upcrossing
[ "Eq.mpr", "WithTop.charZero", "WithTop.instPartialOrder", "Nat.instMulZeroClass", "Real", "Preorder.toLT", "DiscreteUniformity.instCompleteSpace", "Nat.instIsOrderedAddMonoid", "MeasureTheory.StronglyAdapted.isStoppingTime_upperCrossingTime", "MeasurableSet", "Nat.instOne", "AddMonoid.toAddSem...
true
IsAbelianGalois.recOn
Mathlib.FieldTheory.Galois.Abelian
[ "Monoid.toMulOneClass", "Algebra", "MulOne.toMul", "IsGalois", "DivInvMonoid.toMonoid", "IsAbelianGalois", "Field.toSemifield", "IsAbelianGalois.mk", "Group.toDivInvMonoid", "IsMulCommutative", "MulOneClass.toMulOne", "Semifield.toDivisionSemiring", "AlgEquiv", "IsAbelianGalois.rec", "Al...
false
ContinuousLinearEquiv.isUniformEmbedding
Mathlib.Topology.Algebra.Module.Equiv
[ "UniformSpace", "ContinuousLinearEquiv.symm", "Equiv.isUniformEmbedding", "ContinuousLinearEquiv.toLinearEquiv", "AddCommGroup.toAddCommMonoid", "IsUniformEmbedding", "ContinuousLinearMap.uniformContinuous", "AddCommGroup.toAddGroup", "RingHom", "AddCommGroup", "ContinuousLinearEquiv.equivLike",...
true
Nat.Partrec.Code.eval._sunfold
Mathlib.Computability.PartrecCode
[ "Pure.pure", "Part", "Nat.rfind", "PFun", "Nat.unpair", "Monad.toApplicative", "PFun.monad", "Nat.Partrec.Code", "Nat.rec", "instOfNatNat", "Seq.seq", "Applicative.toPure", "Prod.fst", "Nat.pair", "instHAdd", "Unit", "HAdd.hAdd", "Nat", "Nat.Partrec.Code.encodeCode.match_1", "N...
false
Lean.Compiler.LCNF.LitValue.uint64.inj
Lean.Compiler.LCNF.Basic
[ "Lean.Compiler.LCNF.LitValue", "UInt64", "Lean.Compiler.LCNF.LitValue.uint64.noConfusion", "Lean.Compiler.LCNF.LitValue.uint64", "Eq" ]
true
CategoryTheory.GrothendieckTopology.OneHypercoverFamily.IsSheafIff.lift._proof_1
Mathlib.CategoryTheory.Sites.Hypercover.IsSheaf
[ "CategoryTheory.GrothendieckTopology.superset_covering", "CategoryTheory.GrothendieckTopology.OneHypercover.mem₀", "CategoryTheory.PreZeroHypercover.sieve₀", "CategoryTheory.PreOneHypercover.toPreZeroHypercover", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "CompleteLattice.toConditio...
false
_private.Mathlib.Computability.NFA.0.NFA.mem_evalFrom_iff_nonempty_path.match_1_3
Mathlib.Computability.NFA
[ "NFA.step", "NFA.evalFrom", "NFA", "Membership.mem", "Exists", "Set.instSingletonSet", "And.casesOn", "List", "And", "Exists.casesOn", "And.intro", "Exists.intro", "Singleton.singleton", "Set.instMembership", "Set" ]
false
AddMonCat.adjoinZeroAdj.eq_1
Mathlib.Algebra.Category.MonCat.Adjunctions
[ "AddMonCat.instConcreteCategoryAddMonoidHomCarrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Equiv.trans", "AddSemigrp.str", "AddHom", "AddMonoid.toAddZeroClass", "AddMonCat.adjoinZero", "AddMonCat.hasForgetToAddSemigroup", "AddZeroClass.toAddZero", "AddMonCat.adjoinZeroAdj", ...
true
MeasureTheory.measureReal_union_congr_of_subset._auto_3
Mathlib.MeasureTheory.Measure.Real
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
convex_iff_segment_subset
Mathlib.Analysis.Convex.Basic
[ "SMul", "Membership.mem", "PartialOrder", "starConvex_iff_segment_subset", "HasSubset.Subset", "segment", "AddCommMonoid", "Iff", "forall₂_congr", "Convex", "Semiring", "Set.instMembership", "StarConvex", "Set.instHasSubset", "Set" ]
true
Action.functorCategoryEquivalenceFunctorMonoidal._proof_8
Mathlib.CategoryTheory.Action.Monoidal
[ "Monoid", "CategoryTheory.Functor", "Action.functorCategoryEquivalenceFunctorMonoidal._aux_1", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Action.FunctorCategoryEquivalence.functorMonoidal._proof_8", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.C...
false
OpenSubgroup.instInhabited.eq_1
Mathlib.Topology.Algebra.OpenSubgroup
[ "OpenSubgroup", "Group", "OpenSubgroup.instInhabited", "TopologicalSpace", "OpenSubgroup.instTop", "Inhabited", "Eq.refl", "Top.top", "Eq", "Inhabited.mk" ]
true
Std.HashSet.get?_filter
Std.Data.HashSet.Lemmas
[ "Std.HashSet.filter", "Std.HashSet", "Std.HashMap.getKey?_filter_key", "LawfulHashable", "Unit", "Option.filter", "EquivBEq", "Std.HashSet.inner", "Bool", "Hashable", "BEq", "Eq", "Std.HashSet.get?", "Option" ]
true
Lean.Meta.Grind.Arith.Cutsat.UnsatProof.le.injEq
Lean.Meta.Tactic.Grind.Arith.Cutsat.Types
[ "Lean.Meta.Grind.Arith.Cutsat.UnsatProof.le.inj", "Eq.propIntro", "Lean.Meta.Grind.Arith.Cutsat.LeCnstr", "Lean.Meta.Grind.Arith.Cutsat.UnsatProof", "Eq.ndrec", "Eq.refl", "Eq", "Lean.Meta.Grind.Arith.Cutsat.UnsatProof.le" ]
true
WithCStarModule.inner_single_left
Mathlib.Analysis.CStarAlgebra.Module.Constructions
[ "Eq.mpr", "NonUnitalCStarAlgebra.toStarModule", "False", "NonUnitalNormedRing.toNorm", "NonUnitalCStarAlgebra.toNonUnitalNormedRing", "Equiv.instEquivLike", "Finset.univ", "eq_false", "Inner.inner", "congrArg", "AddCommGroup.toAddCommMonoid", "Finset", "SMul", "NormedSpace.toModule", "Pi...
true
Lean.Elab.Tactic.GuardExpr.MatchKind.ctorIdx
Lean.Elab.Tactic.Guard
[ "Lean.Elab.Tactic.GuardExpr.MatchKind", "Lean.Meta.TransparencyMode", "Lean.Elab.Tactic.GuardExpr.MatchKind.casesOn", "Nat", "Lean.Meta.TransparencyMode.reducible", "optParam" ]
false
CategoryTheory.Limits.ColimitPresentation.instLocallySmallTotal
Mathlib.CategoryTheory.Presentable.ColimitPresentation
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.LocallySmall", "CategoryTheory.Limits.ColimitPresentation.Total.Hom.hom", "CategoryTheory.instSmallHomOfLocallySmall", "CategoryTheory.Limits.ColimitPresentation.Total.Hom.base", "small_of_injective", "...
true
SimpleGraph.walkLengthTwoEquivCommonNeighbors._proof_4
Mathlib.Combinatorics.SimpleGraph.Walk.Counting
[ "SimpleGraph.Adj.toWalk", "SimpleGraph.Adj.symm", "SimpleGraph.Walk.length", "SimpleGraph.Adj", "SimpleGraph.Walk", "Membership.mem", "SimpleGraph.neighborSet", "Set.Elem", "SimpleGraph.commonNeighbors", "Subtype", "instOfNatNat", "SimpleGraph.Walk.concat", "Subtype.mk", "SimpleGraph", "...
false
CategoryTheory.Pi.equivalenceOfEquiv_functor
Mathlib.CategoryTheory.Pi.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Pi.equivalenceOfEquiv._proof_1", "Equiv.instEquivLike", "CategoryTheory.Pi.equivalenceOfEquiv", "CategoryTheory.Pi.eval", "CategoryTheory.Functor.comp", "Equiv", "CategoryTheory.Equivalence.functor", "CategoryTheory.pi", "CategoryTheory.Pi.eqToEquivalence"...
true
LieAlgebra.IsKilling.eq_neg_one_or_eq_zero_or_eq_one_of_eq_smul
Mathlib.Algebra.Lie.Weights.RootSystem
[ "Int.instAddCommGroup", "LieAlgebra.toModule", "Nontrivial", "Iff.mpr", "LieSubalgebra.lieAlgebra", "AddGroup.toSubtractionMonoid", "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring", "Int.cast_neg", "Int.cast", "Eq.mpr", "Pi.Function.module", "NegZeroClass.toNeg", "NonAssocSemiring...
true
CategoryTheory.WithTerminal.opEquiv._proof_29
Mathlib.CategoryTheory.WithTerminal.Basic
[ "Eq.mpr", "CategoryTheory.Limits.IsTerminal.from", "CategoryTheory.WithTerminal.opEquiv.match_9", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.WithTerminal.opEquiv.match_13", "CategoryTheory.WithInitial.of", "CategoryTheory.CategoryStruct.opposite", "congrArg...
false
Con.submonoid._proof_1
Mathlib.GroupTheory.Congruence.Basic
[ "Con.mul", "HMul.hMul", "MulOne.toMul", "Prod.fst", "MulOneClass.toMulOne", "Con", "MulOneClass", "Prod", "Con.instFunLikeForallProp", "Prod.snd", "DFunLike.coe", "instHMul" ]
false
Matrix.linearIndependent_rows_of_det_ne_zero
Mathlib.LinearAlgebra.Matrix.Determinant.Basic
[ "Pi.Function.module", "IsDomain", "Mathlib.Tactic.Contrapose.contrapose₂", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "Pi.addCommMonoid", "CommRing.toNonUnitalCommRing", "CommSemiring.toSemiring", "Matrix", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring...
true
Std.DTreeMap.Internal.Impl.link2.match_1
Std.Data.DTreeMap.Internal.Operations
[ "Std.DTreeMap.Internal.Impl.Tree.casesOn", "Std.DTreeMap.Internal.Impl.Tree.mk", "Std.DTreeMap.Internal.Impl.Balanced", "Std.DTreeMap.Internal.Impl.size", "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "Eq", "Std.DTreeMap.Internal.Impl.Tree", "Std.DTreeMap.Internal.Impl" ]
false
Std.Internal.IO.Async.System.UserId.ctorIdx
Std.Internal.Async.System
[ "Nat", "Std.Internal.IO.Async.System.UserId" ]
false
ONote.fastGrowing.eq_1
Mathlib.SetTheory.Ordinal.Notation
[ "Preorder.toLT", "ONote.fastGrowing", "Option.some", "Sum", "Sum.inl", "Nat.iterate", "ONote.fundamentalSequence", "Option.none", "ONote.fastGrowing.match_1", "ONote.fastGrowing._proof_6", "Sum.inr", "Nat", "LT.lt", "ONote.FundamentalSequenceProp", "Eq.refl", "ONote.instPreorder", "O...
true
CategoryTheory.Monad._sizeOf_inst
Mathlib.CategoryTheory.Monad.Basic
[ "CategoryTheory.Monad", "CategoryTheory.Monad._sizeOf_1", "SizeOf.mk", "SizeOf", "CategoryTheory.Category" ]
false
_private.Mathlib.CategoryTheory.Bicategory.Free.0.CategoryTheory.FreeBicategory.liftHom.match_1.eq_1
Mathlib.CategoryTheory.Bicategory.Free
[ "CategoryTheory.FreeBicategory.Hom.comp", "Quiver.Hom", "CategoryTheory.FreeBicategory.quiver", "CategoryTheory.FreeBicategory.Hom.id", "CategoryTheory.FreeBicategory", "CategoryTheory.FreeBicategory.Hom", "CategoryTheory.FreeBicategory.liftHom.match_1", "Quiver", "Eq.refl", "CategoryTheory.FreeBi...
true
Lean.Grind.CommRing.instReprExpr.repr._unsafe_rec
Init.Grind.Ring.CommSolver
[ "Std.Format.instAppend", "Lean.Grind.CommRing.Expr", "Std.Format.line", "_private.Init.Grind.Ring.CommSolver.0.Lean.Grind.CommRing.instHashableExpr.hash.match_1", "Std.Format.group", "Lean.Grind.CommRing.instReprExpr.repr._unsafe_rec", "GE.ge", "instOfNatNat", "Int", "instLENat", "Lean.Grind.Com...
false
Order.IsNormal.strictMono
Mathlib.Order.IsNormal
[ "StrictMono", "LinearOrder", "PartialOrder.toPreorder", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "instDistribLatticeOfLinearOrder", "Order.IsNormal", "Lattice.toSemilatticeInf" ]
true
edist_toMul
Mathlib.Topology.EMetricSpace.Defs
[ "Equiv.instEquivLike", "Additive", "instEDistAdditive", "Additive.toMul", "Equiv", "ENNReal", "EDist.edist", "EDist", "Eq", "DFunLike.coe", "rfl", "EquivLike.toFunLike" ]
true
List.tail_zip
Init.Data.List.Zip
[ "congrArg", "List.zip", "List.tail", "List.cons", "List", "congr", "True", "List.casesOn", "eq_self", "of_eq_true", "Eq.ndrec", "Eq.refl", "Prod", "Eq.symm", "List.zip_nil_right", "Eq", "Eq.trans", "List.nil" ]
true
ModuleCat.projectiveShortComplex._proof_1
Mathlib.Algebra.Category.ModuleCat.Ext.DimensionShifting
[ "CommRing", "CommSemiring.toSemiring", "RingHomInvPair", "CommRing.toCommSemiring", "RingHomInvPair.ids", "RingHom.id", "Semiring.toNonAssocSemiring" ]
false
CategoryTheory.Equivalence.functor_unitIso_comp
Mathlib.CategoryTheory.Equivalence
[ "CategoryTheory.Functor", "CategoryTheory.Equivalence.unitIso", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Equivalence", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory.CategoryStruct.id", "CategoryTheory.E...
true
Affine.Simplex.instFintypePointsWithCircumcenterIndex._proof_7
Mathlib.Geometry.Euclidean.Circumcenter
[ "Unit.unit", "Function.LeftInverse", "Affine.Simplex.instFintypePointsWithCircumcenterIndex.match_3", "Sum.casesOn", "Sum", "instOfNatNat", "Sum.inl", "Affine.Simplex.PointsWithCircumcenterIndex.pointIndex", "instHAdd", "Unit", "HAdd.hAdd", "Sum.inr", "Nat", "Affine.Simplex.instFintypePoin...
false
Behrend.sphere_zero_right
Mathlib.Combinatorics.Additive.AP.Three.Behrend
[ "Finset.univ", "congrArg", "Behrend.sphere", "Finset", "Nat.instMonoid", "Finset.filter_empty", "Behrend.box", "Finset.filter.congr_simp", "instOfNatNat", "Finset.instEmptyCollection", "Fin.fintype", "Monoid.toPow", "instHAdd", "HPow.hPow", "HAdd.hAdd", "Behrend.box_zero", "Nat", "...
true
UInt32.ofFin_shiftRight
Init.Data.UInt.Bitwise
[ "UInt32.size", "congrArg", "UInt32.toFin_inj", "UInt32.toFin_shiftRight", "instOfNatNat", "Fin.val", "instHShiftRightOfShiftRight", "HShiftRight.hShiftRight", "UInt32.ofFin", "Nat", "congr", "LT.lt", "True", "eq_self", "Iff.mp", "of_eq_true", "UInt32", "UInt32.toFin_ofFin", "inst...
true
MeasureTheory.IntegrableOn.locallyIntegrableOn
Mathlib.MeasureTheory.Function.LocallyIntegrable
[ "Filter.instMembership", "MeasureTheory.Measure", "nhdsWithin", "Membership.mem", "MeasureTheory.IntegrableOn", "ContinuousENorm", "MeasurableSpace", "TopologicalSpace", "And", "self_mem_nhdsWithin", "And.intro", "Exists.intro", "MeasureTheory.LocallyIntegrableOn", "Set.instMembership", ...
true
DoubleCentralizer.instMul._proof_2
Mathlib.Analysis.CStarAlgebra.Multiplier
[ "NormedField.toField", "RingHomCompTriple", "Field.toSemifield", "Semifield.toDivisionSemiring", "DivisionSemiring.toSemiring", "NontriviallyNormedField", "NontriviallyNormedField.toNormedField", "RingHom.id", "RingHomCompTriple.ids", "Semiring.toNonAssocSemiring" ]
false
SSet.Subcomplex.Pairing.RankFunction.Cell.index._proof_1
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.RelativeCellComplex
[ "Equiv.instEquivLike", "SSet.Subcomplex.Pairing.isUniquelyCodimOneFace", "LinearOrder", "SSet.Subcomplex.Pairing.p", "Membership.mem", "SemilatticeInf.toPartialOrder", "SSet.Subcomplex.Pairing.RankFunction.Cell.s", "SSet.Subcomplex.N", "Set.Elem", "DistribLattice.toLattice", "Equiv", "SSet.Sub...
false
SSet.Truncated.Path₁.arrow
Mathlib.AlgebraicTopology.SimplicialSet.Path
[ "CategoryTheory.ObjectProperty.FullSubcategory.mk", "Opposite", "SSet.Truncated", "SSet.Truncated.Path₁._proof_2", "instOfNatNat", "LE.le", "instLENat", "SSet.Truncated.Path₁", "SimplexCategory.mk", "Opposite.op", "Nat", "CategoryTheory.types", "SimplexCategory", "CategoryTheory.Category.o...
true
ISize.ofNat_int8ToNatClampNeg
Init.Data.SInt.Lemmas
[ "instPowNat", "Eq.mpr", "of_decide_eq_true", "congrArg", "Int8.toISize", "Int8", "ISize.ofNat", "Int8.toInt", "id", "ISize.toInt.inj", "instOfNatNat", "Int", "LE.le", "instLENat", "Nat.cast", "instNatPowNat", "Bool.true", "HPow.hPow", "Int8.toNatClampNeg", "Nat", "instLEInt8"...
true
Std.Time.Weekday.toNat
Std.Time.Date.Unit.Weekday
[ "instOfNatNat", "Unit", "_private.Std.Time.Date.Unit.Weekday.0.Std.Time.instReprWeekday.repr.match_1", "Nat", "OfNat.ofNat", "Std.Time.Weekday" ]
true
CategoryTheory.Limits.Cofan.ext
Mathlib.CategoryTheory.Limits.Shapes.Products
[ "CategoryTheory.Limits.Cofan.ext._auto_1", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.Cofan", "CategoryTheory.Limits.Cofan.ext._proof_1", "CategoryTheory.Limits.Cocone.ext", "CategoryTheory.Discrete.functor", "CategoryTheory.Iso", "autoParam", "CategoryTheory.Li...
true
Int.neg_mul_tmod_left
Init.Data.Int.DivMod.Lemmas
[ "Int.tmod", "HMul.hMul", "congrArg", "Int.neg_tmod", "Int.instNegInt", "Int", "Int.instMul", "instOfNat", "True", "eq_self", "of_eq_true", "congrFun'", "Int.mul_tmod_left", "OfNat.ofNat", "Eq", "Neg.neg", "Eq.trans", "instHMul" ]
true
_private.Mathlib.Order.Monotone.Extension.0.MonotoneOn.exists_monotone_extension._simp_1_2
Mathlib.Order.Monotone.Extension
[ "Std.Refl", "True", "eq_true", "refl", "Eq" ]
false
_private.Lean.Elab.Tactic.Grind.SimprocDSLBuiltin.0.Lean.Elab.Tactic.Grind.elabSimprocNone
Lean.Elab.Tactic.Grind.SimprocDSLBuiltin
[ "Pure.pure", "Lean.Elab.Term.instMonadTermElabM", "ReaderT", "Lean.Meta.Sym.Simp.MethodsRef", "Lean.Meta.Sym.Context", "Lean.Syntax", "ReaderT.instMonad", "Lean.Elab.Tactic.Grind.Context", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "Applicative.toPure", "Lean.Meta.Sym.SymM", "Lean.Met...
true
_private.Mathlib.Order.Interval.Set.OrderIso.0.OrderIso.preimage_Icc._simp_1_1
Mathlib.Order.Interval.Set.OrderIso
[ "Set.Ici", "Set.instInter", "Inter.inter", "Set.Icc", "Set.Iic", "Eq.symm", "Eq", "Preorder", "Set.Ici_inter_Iic", "Set" ]
false
AddMonoidAlgebra.uniqueAlgEquiv.eq_1
Mathlib.Algebra.MonoidAlgebra.Basic
[ "AddMonoidAlgebra.semiring", "RingEquiv.toEquiv", "Unique", "AddMonoidAlgebra.algebra", "AddMonoidAlgebra.uniqueAlgEquiv._proof_1", "Algebra", "Distrib.toAdd", "AlgEquiv.mk", "AddMonoidAlgebra.uniqueAlgEquiv._proof_3", "instDistribOfSemiring", "CommSemiring", "Unique.instSubsingleton", "AddM...
true
Polynomial.IsMonicOfDegree.monic
Mathlib.Algebra.Polynomial.Degree.IsMonicOfDegree
[ "Polynomial", "Polynomial.Monic", "Nat", "Semiring", "Polynomial.IsMonicOfDegree" ]
true
CategoryTheory.Limits.CategoricalPullback.CatCommSqOver.precomposeObjComp_hom_app_snd_app
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Categorical.Basic
[ "CategoryTheory.Limits.CategoricalPullback.CatCommSqOver.Hom.snd", "CategoryTheory.Functor", "CategoryTheory.Limits.CategoricalPullback.CatCommSqOver.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory...
true
Lean.Firefox.ThreadWithCollideMaps.resourceTable._inherited_default
Lean.Util.Profiler
[ "Lean.Json", "Lean.Firefox.ResourceTable.mk", "id", "instOfNatNat", "List.toArray", "Nat", "Lean.Firefox.ResourceTable", "OfNat.ofNat", "List.nil" ]
false
_private.Batteries.Data.BinomialHeap.Basic.0.Batteries.BinomialHeap.Imp.Heap.realSize.match_1.eq_2
Batteries.Data.BinomialHeap.Basic
[ "Batteries.BinomialHeap.Imp.Heap", "Batteries.BinomialHeap.Imp.HeapNode", "Batteries.BinomialHeap.Imp.Heap.cons", "Batteries.BinomialHeap.Imp.Heap.nil", "Unit", "Batteries.BinomialHeap.Imp.Heap.realSize.match_1", "Nat", "Eq.refl", "Eq" ]
true
ContinuousAt.finset_sup'
Mathlib.Topology.Order.Lattice
[ "congrArg", "ContinuousAt", "Finset", "Membership.mem", "SemilatticeSup.toMax", "Eq.mp", "TopologicalSpace", "Pi.instSemilatticeSup", "funext", "Finset.instSetLike", "_private.Mathlib.Topology.Order.Lattice.0.ContinuousAt.finset_sup'._simp_1_1", "ContinuousAt.finset_sup'_apply", "Finset.None...
true
PresentedMonoid.ext_iff
Mathlib.Algebra.PresentedMonoid.Basic
[ "Monoid", "PresentedMonoid", "FreeMonoid", "MonoidHom.instFunLike", "MonoidHom", "Monoid.toMulOneClass", "PresentedMonoid.of", "HEq.refl", "PresentedMonoid.ext", "Eq.casesOn", "MulOneClass.toMulOne", "Iff", "Iff.intro", "Eq.ndrec", "Eq.refl", "HEq", "PresentedMonoid.instMonoid", "E...
true
Path.map'._proof_3
Mathlib.Topology.Path
[ "Set.mem_range_self", "Real", "Continuous", "ContinuousOn.comp_continuous", "PseudoMetricSpace.toUniformSpace", "Function.comp", "Membership.mem", "Set.Elem", "TopologicalSpace", "Path.continuous", "Path.instFunLike", "Path", "ContinuousOn", "Real.pseudoMetricSpace", "instTopologicalSpac...
false
Polynomial.nextCoeff_map_of_leadingCoeff_ne_zero
Mathlib.Algebra.Polynomial.Eval.Degree
[ "RingHom", "Polynomial.leadingCoeff", "Ne", "Polynomial", "Polynomial.nextCoeff", "RingHom.instFunLike", "Semiring", "Zero.toOfNat0", "_private.Mathlib.Algebra.Polynomial.Eval.Degree.0.Polynomial.nextCoeff_map_of_leadingCoeff_ne_zero._proof_1_1", "Polynomial.map", "OfNat.ofNat", "Semiring.toNo...
true
Lean.Parser.Term.explicitUniv
Lean.Parser.Term
[ "Lean.Parser.Parser", "HAndThen.hAndThen", "Lean.Parser.Term.isIdent", "instHAndThenOfAndThen", "instOfNatNat", "Lean.Parser.trailingNode", "Lean.Parser.sepBy1", "Lean.Parser.symbol", "Lean.Parser.TrailingParser", "Lean.Parser.checkNoWsBefore", "Unit", "Nat", "Lean.Parser.levelParser", "Le...
true
ShowMessageParams.noConfusionType
Lean.Data.Lsp.Window
[ "ShowMessageParams", "String", "ShowMessageParams.casesOn", "MessageType", "Eq" ]
false
EuclideanDomain.gcd_eq_left
Mathlib.Algebra.EuclideanDomain.Basic
[ "Iff.mpr", "Eq.mpr", "Dvd.dvd", "CommRing.toNonUnitalCommRing", "congrArg", "CommSemiring.toSemiring", "semigroupDvd", "SemigroupWithZero.toSemigroup", "id", "instHMod", "NonUnitalSemiring.toSemigroupWithZero", "EuclideanDomain.gcd_zero_left", "NonUnitalCommSemiring.toNonUnitalSemiring", "...
true
CliffordAlgebra.EvenHom.bilin
Mathlib.LinearAlgebra.CliffordAlgebra.Even
[ "CommRing", "CliffordAlgebra.EvenHom", "Ring.toNonAssocRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "QuadraticForm", "Algebra", "AddCommGroup", "Algebra.toModule", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "LinearMap.module", "LinearMap", "NonAssocRing.toNonUn...
true
CategoryTheory.CoreHom.iso
Mathlib.CategoryTheory.Core
[ "CategoryTheory.Iso", "CategoryTheory.CoreHom", "CategoryTheory.Core.of", "CategoryTheory.Core", "CategoryTheory.Category" ]
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.maxKey!_erase_eq_of_not_compare_maxKey!_eq._simp_1_2
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "beqOfOrd", "Ordering", "Std.DTreeMap.Internal.Impl.compare_ne_iff_beq_eq_false", "Ordering.eq", "Ne", "Ord.compare", "BEq.beq", "propext", "Bool", "Bool.false", "Eq" ]
false
Batteries.Tactic.Cache.get.match_3
Batteries.Util.Cache
[ "Except.ok", "Except.error", "Except.casesOn", "Except", "Lean.Exception" ]
false
MonCat.Colimits.Relation.below.rec
Mathlib.Algebra.Category.MonCat.Colimits
[ "MonCat.Colimits.Relation.mul_2", "MulOne.toOne", "CategoryTheory.Functor", "MonoidHom.instFunLike", "HMul.hMul", "MonCat.Colimits.Relation.below.symm", "CategoryTheory.CategoryStruct.toQuiver", "MonoidHom", "Quiver.Hom", "MonCat.Colimits.Relation.one_mul", "MonCat.Colimits.Relation.below", "M...
false
AlgCat.instRingObjForgetAlgHomCarrier
Mathlib.Algebra.Category.AlgCat.Basic
[ "CommRing", "AlgCat.instCategory", "AlgHom", "AlgCat.instConcreteCategoryAlgHomCarrier", "AlgHom.funLike", "AlgCat", "CommRing.toCommSemiring", "AlgCat.carrier", "CategoryTheory.types", "CategoryTheory.forget", "AlgCat.isAlgebra", "Ring.toSemiring", "Ring", "CategoryTheory.Functor.obj", ...
true
Mathlib.Tactic._aux_Mathlib_Tactic_Linarith_Frontend___elabRules_Mathlib_Tactic_linarith_1
Mathlib.Tactic.Linarith.Frontend
[ "cond", "Lean.Syntax.TSepArray.mk", "Lean.TSyntax", "Lean.Elab.Tactic.instMonadExceptExceptionTacticM", "Unit.unit", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Syntax.getArgs", "Lean.Elab.Tactic.SavedState", "Mathlib.Tactic.Linarith.LinarithConfig", "Lean.Meta.State", "Mathlib.Tactic.Linarith...
false
Std.ExtTreeMap.ext_getKey_getElem?_iff
Std.Data.ExtTreeMap.Lemmas
[ "HEq.refl", "Membership.mem", "Ordering", "Eq.casesOn", "Std.TransCmp", "Std.ExtTreeMap.getKey", "And.casesOn", "And", "Iff", "Std.ExtTreeMap", "Std.ExtTreeMap.ext_getKey_getElem?", "And.intro", "Iff.intro", "Eq.ndrec", "Eq.refl", "HEq", "Std.ExtTreeMap.instGetElem?Mem", "Std.ExtTr...
true
Lean.Grind.CommRing.Poly.denote'.go.eq_def
Init.Grind.Ring.CommSolver
[ "Int.cast", "Eq.mpr", "Lean.Grind.CommRing.Poly.rec", "False", "Lean.Grind.CommRing.Poly", "_private.Init.Grind.Ring.CommSolver.0.Lean.Grind.CommRing.Poly.denote'.go.match_1.eq_1", "Lean.Grind.CommRing.denoteTerm", "Lean.Grind.CommRing.Poly.add", "congrArg", "Lean.Grind.CommRing.Poly.denote'.go._f...
true
WithBot.bot_add
Mathlib.Algebra.Order.Monoid.Unbundled.WithTop
[ "WithBot", "Bot.bot", "instHAdd", "HAdd.hAdd", "WithBot.add", "Eq", "WithBot.bot", "Add", "rfl" ]
true
subsetConditionallyCompleteLinearOrder._proof_4
Mathlib.Order.CompleteLatticeIntervals
[ "Inhabited.default", "False", "Lattice.toSemilatticeSup", "eq_false", "congrArg", "bddBelow_empty._simp_1", "PartialOrder.toPreorder", "Subtype.instLinearOrder", "false_and", "Classical.propDecidable", "Preorder.toLE", "Membership.mem", "Set.Elem", "DistribLattice.toLattice", "Conditiona...
false
instCommGroupClassGroup._proof_6
Mathlib.RingTheory.ClassGroup
[ "IsDomain", "MonoidHom.range", "FractionRing.field", "Mul.mk", "Semigroup.toMul", "CommRing", "One.mk", "HMul.hMul", "OreLocalization.instAlgebra", "instCommGroupClassGroup._proof_3", "CommSemiring.toSemiring", "instCommGroupClassGroup._aux_1", "instCommGroupClassGroup._aux_4", "ClassGroup...
false
_private.Mathlib.RingTheory.Spectrum.Prime.Topology.0.PrimeSpectrum.localization_comap_isInducing._simp_1_2
Mathlib.RingTheory.Spectrum.Prime.Topology
[ "PrimeSpectrum.isClosed_iff_zeroLocus", "PrimeSpectrum.zeroLocus", "Exists", "CommSemiring", "IsClosed", "propext", "PrimeSpectrum", "Eq", "PrimeSpectrum.zariskiTopology", "Set" ]
false
_private.Mathlib.CategoryTheory.SmallRepresentatives.0.CategoryTheory.CoreSmallCategoryOfSet.arrowEquiv._simp_1
Mathlib.CategoryTheory.SmallRepresentatives
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.eqToHom", "Exists", "propext", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Arrow", "CategoryTheory.Arrow.mk", "Eq.symm", "Eq", "CategoryTheory.Category", "CategoryThe...
false
CategoryTheory.FreeBicategory.Hom₂.noConfusion
Mathlib.CategoryTheory.Bicategory.Free
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HEq.refl", "CategoryTheory.FreeBicategory.Hom₂.casesOn", "CategoryTheory.FreeBicategory.categoryStruct", "CategoryTheory.FreeBicategory.Hom₂.noConfusionType", "CategoryTheory.FreeBicategory.quiver", "CategoryTheory.FreeBicategory", "CategoryTh...
false
Lean.instFromJsonSubtypeOfDecidablePred_mathlib
Mathlib.Lean.Json
[ "Pure.pure", "Lean.Json", "instMonadExceptOfExcept", "instMonadExceptOfMonadExceptOf", "Monad.toApplicative", "String", "MonadExcept.throw", "Lean.FromJson.fromJson?", "Subtype", "Applicative.toPure", "Except.instMonad", "dite", "Subtype.mk", "Lean.FromJson", "Lean.FromJson.mk", "Decid...
true
Function.FromTypes.curry_apply_cons
Mathlib.Data.Fin.Tuple.Curry
[ "Fin.succ", "Function.dcomp", "Fin.cons", "Function.FromTypes", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "Function.FromTypes.curry", "instAddNat", "OfNat.ofNat", "Fin", "Matrix.vecTail", "Eq", "Matrix.vecCons", "rfl" ]
true
RCLike.copy_of_normedField._proof_5
Mathlib.Analysis.RCLike.Basic
[ "NormedCommRing.toSeminormedCommRing", "MulOne.toOne", "Real", "RCLike.toNormedAlgebra", "Algebra.algebraMap", "CommSemiring.toSemiring", "SeminormedRing.toRing", "RingHom", "NormedField.toField", "NonAssocSemiring.toMulZeroOneClass", "Field.toSemifield", "NormedField", "RCLike.toDenselyNorm...
false
Traversable.map_traverse
Mathlib.Control.Traversable.Lemmas
[ "Pure.pure", "Traversable.toFunctor", "Eq.mpr", "Functor.Comp.applicative_comp_id", "LawfulTraversable.comp_traverse", "congrArg", "HEq.refl", "Monad.toApplicative", "Function.comp", "Functor.Comp.instApplicativeComp", "id", "Id.run", "Id", "Applicative.toPure", "CommApplicative.toLawful...
true
DistribMulActionHom.map_smulₑ
Mathlib.GroupTheory.GroupAction.Hom
[ "Monoid", "instHSMul", "MonoidHom.instFunLike", "MonoidHom", "Monoid.toMulOneClass", "DistribMulActionHom", "MulActionSemiHomClass.map_smulₛₗ", "DistribMulActionHom.instFunLike", "MulOneClass.toMulOne", "AddMonoid", "DistribMulActionHom.instAddDistribAddActionSemiHomClassCoeAddMonoidHom", "Mon...
true
Mathlib.Tactic.BicategoryLike.Mor₂.coherenceComp.noConfusion
Mathlib.Tactic.CategoryTheory.Coherence.Datatypes
[ "Mathlib.Tactic.BicategoryLike.Mor₂", "Mathlib.Tactic.BicategoryLike.CoherenceHom", "Mathlib.Tactic.BicategoryLike.Mor₂.noConfusion", "Lean.Expr", "id", "Mathlib.Tactic.BicategoryLike.Mor₁", "Mathlib.Tactic.BicategoryLike.IsoLift", "Mathlib.Tactic.BicategoryLike.Mor₂.coherenceComp", "Eq", "Option"...
false
_private.Mathlib.Analysis.Complex.UpperHalfPlane.MoebiusAction.0.UpperHalfPlane.linear_ne_zero_of_im._simp_1_1
Mathlib.Analysis.Complex.UpperHalfPlane.MoebiusAction
[ "HMul.hMul", "MulZeroClass.toMul", "MulZeroClass", "mul_eq_zero", "NoZeroDivisors", "propext", "Zero.toOfNat0", "Or", "OfNat.ofNat", "Eq", "MulZeroClass.toZero", "instHMul" ]
false
_private.Mathlib.Combinatorics.SimpleGraph.Metric.0.SimpleGraph.ball_two._simp_1_3
Mathlib.Combinatorics.SimpleGraph.Metric
[ "propext", "Or", "or_comm", "Eq" ]
false
MeasureTheory.Lp.instNNNorm._proof_1
Mathlib.MeasureTheory.Function.LpSpace.Basic
[ "Real.instLE", "Real", "MeasureTheory.Measure", "Real.instZero", "MeasureTheory.AEEqFun.cast", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "Membership.mem", "SeminormedAddGroup.toContinuousENorm", "Subtype", "ENNReal.toReal_nonneg", "LE.le", "MeasureTheory.Lp", "MeasureT...
false
Lean.Parser.Tactic.rcasesPat.clear
Init.RCases
[ "Lean.Name.mkStr5", "instOfNatNat", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "OfNat.ofNat" ]
true
CategoryTheory.Limits.FintypeCat.inclusionCreatesFiniteLimits._proof_1
Mathlib.CategoryTheory.Limits.FintypeCat
[ "CategoryTheory.Functor", "Finite", "FintypeCat", "CategoryTheory.Functor.comp", "CategoryTheory.Limits.HasLimit", "UnivLE.small", "CategoryTheory.SmallCategory", "CategoryTheory.Limits.Types.hasLimit", "FintypeCat.incl", "UnivLE.self", "CategoryTheory.types", "CategoryTheory.ObjectProperty.Fu...
false
Polynomial.Monic.natDegree_mul
Mathlib.Algebra.Polynomial.Monic
[ "Nontrivial", "NonAssocSemiring.toAddCommMonoidWithOne", "False", "Polynomial.natDegree_of_subsingleton", "NeZero.one", "HMul.hMul", "congrArg", "AddMonoid.toAddZeroClass", "Nat.instAddMonoid", "Polynomial.natDegree_mul'", "one_ne_zero._simp_1", "Polynomial.leadingCoeff", "Ne", "instOfNatN...
true
Subgroup.unop_normalizer
Mathlib.Algebra.Group.Subgroup.MulOpposite
[ "Eq.mpr", "congrArg", "MulOpposite", "Group", "Subgroup.op_normalizer", "id", "Subgroup", "MulOpposite.instGroup", "Subgroup.op", "Subgroup.normalizer", "SetLike.coe", "propext", "Subgroup.op_unop", "Eq.refl", "Eq.symm", "Eq", "Subgroup.unop", "Subgroup.instSetLike", "Subgroup.op...
true
CategoryTheory.Limits.ChosenPullback.hp₂_assoc
Mathlib.CategoryTheory.Limits.Shapes.Pullback.ChosenPullback
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Eq.mp", "id", "Mathlib.Tactic.Reassoc.eq_whisker'", "CategoryTheory.Limits.ChosenPullback.p₂", "CategoryTheory.Limits.ChosenPullback.hp₂", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.C...
true
FirstOrder.Language.orderLHom_leSymb
Mathlib.ModelTheory.Order
[ "FirstOrder.Language.LHom.onRelation", "FirstOrder.Language.orderLHom", "instOfNatNat", "FirstOrder.Language.IsOrdered.leSymb", "Nat", "FirstOrder.Language.Relations", "FirstOrder.Language.order", "FirstOrder.Language.IsOrdered", "FirstOrder.Language", "OfNat.ofNat", "Eq", "rfl", "FirstOrder...
true
_private.Lean.Meta.Injective.0.Lean.Meta.getCtorAppIndices?._sparseCasesOn_1
Lean.Meta.Injective
[ "Lean.ConstantInfo.recInfo", "Lean.ConstantInfo.defnInfo", "Lean.ConstructorVal", "Nat.ne_of_beq_eq_false", "Lean.QuotVal", "Lean.ConstantInfo.inductInfo", "Lean.ConstantInfo.opaqueInfo", "Nat.shiftRight", "Lean.ConstantInfo.thmInfo", "Nat.hasNotBit", "Lean.ConstantInfo.rec", "instOfNatNat", ...
false
_private.Mathlib.Order.PropInstances.0.Pi.isCompl_iff._simp_1_1
Mathlib.Order.PropInstances
[ "Codisjoint", "PartialOrder.toPreorder", "Preorder.toLE", "Disjoint", "PartialOrder", "isCompl_iff", "And", "IsCompl", "BoundedOrder.toOrderTop", "BoundedOrder.toOrderBot", "propext", "BoundedOrder", "Eq" ]
false
_private.Lean.Meta.WHNF.0.Lean.Meta.matchConstAux.match_4
Lean.Meta.WHNF
[ "Lean.Expr.const", "Lean.Expr", "Nat.hasNotBit", "Lean.Level", "List", "_private.Lean.Meta.WHNF.0.Lean.Meta.matchConstAux._sparseCasesOn_4", "Lean.Name", "Lean.Expr.ctorIdx" ]
false
Char.toLower_eq_of_isUpper
Batteries.Data.Char.AsciiCasing
[ "_private.Batteries.Data.Char.AsciiCasing.0.Char.toLower_eq_of_isUpper._simp_1_3", "dite_cond_eq_true", "Eq.mpr", "UInt32.toNat", "UInt32.ofNat_add", "congrArg", "and_self", "Decidable.decide.congr_simp", "Char.ext", "HSub.hSub", "Char.toNat", "Bool.decide_and", "Char.ofNat_toNat_eq_val", ...
true
Set.pi_univ_Ioc_update_right
Mathlib.Order.Interval.Set.Pi
[ "Iff.mpr", "Set.Ioi_inter_Iic", "Eq.mpr", "Set.Ioc", "Set.Ioi", "Function.update", "congrArg", "Compl.compl", "Set.singleton_pi'", "Set.Iic_subset_Iic", "Set.univ", "Set.inter_left_comm", "setOf", "Preorder.toLE", "Membership.mem", "Set.instSingletonSet", "id", "HasSubset.Subset", ...
true
UInt8.toFin_xor
Init.Data.UInt.Bitwise
[ "Nat.instXorOp", "UInt8.toFin", "congrArg", "UInt8.size", "Fin.val", "Nat", "congr", "True", "UInt8.toFin_val", "HXor.hXor", "eq_self", "Iff.mp", "of_eq_true", "Fin.instXorOp", "UInt8.toNat_xor", "UInt8.toNat", "instXorOpUInt8", "UInt8", "Fin", "Eq", "Fin.val_inj", "instHXo...
true
CliffordAlgebraComplex.reverse_eq_id
Mathlib.LinearAlgebra.CliffordAlgebra.Equivs
[ "LinearMap.id", "Real", "CliffordAlgebra.reverse", "Semiring.toModule", "Ring.toNonAssocRing", "LinearMap.ext", "CommSemiring.toSemiring", "CliffordAlgebra", "CliffordAlgebraComplex.Q", "instAlgebraCliffordAlgebra", "Algebra.toModule", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Re...
true